Hilbert transform
= Hilbert transform
{c}
{wiki}
With one common sign convention,
$$
Hf(y)=\frac1\pi\operatorname{PV}
\int_{-\infty}^{\infty}\frac{f(x)}{y-x}\,dx.
$$
Reversing the denominator reverses the sign.
= Hilbert transform
{c}
{wiki}
With one common sign convention,
$$
Hf(y)=\frac1\pi\operatorname{PV}
\int_{-\infty}^{\infty}\frac{f(x)}{y-x}\,dx.
$$
Reversing the denominator reverses the sign.